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M1辐射跃迁在$B_c$系统中于$B_c^ast(1S)$观测之后:径向节点抵消与夸克线过滤

M1 Radiative Transitions in the $B_c$ System after the $B_c^\ast(1S)$ Observation: Radial-Node Cancellation and Quark-Line Filtering

Bing-Dong Wan

arXiv 2610.00138首次发表:更新:

发表机构

School of Physics and Electronic Technology, Liaoning Normal University; Center for Theoretical and Experimental High Energy Physics, Liaoning Normal University(辽宁师范大学物理与电子科技学院; 辽宁师范大学理论与实验高能物理中心)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

基于ATLAS对B_c^*(1S)的观测,利用相对论性Salpeter波函数研究B_c系统四个1S和2S M1辐射跃迁,揭示受抑制跃迁的径向节点抵消及夸克线过滤不对称性。

AI 中文摘要

近期ATLAS对$B_c^*(1S)$介子的观测确定了基态超精细劈裂,从而决定了$B_c^*(1S)\to B_c(1S)\gamma$的相空间。我们利用经测量的基态质量校准的相对论性Salpeter波函数,研究了四个$1S$和$2S$ M1辐射跃迁,得到$\Gamma[B_c^*(1S)\to B_c(1S)\gamma]=5.24\times10^{-2}$~keV。允许的跃迁没有表现出径向节点抵消,而受抑制的$2S\to1S$振幅是跨径向节点约二十倍抵消的残余。夸克线分辨分析显示在交叉的受抑制通道中存在强烈不对称性:$b$发射贡献经历$\mathcal O(10^2)$的内部抵消,而$\bar c$贡献保持在$\mathcal O(20)$。相应的无符号线强度表明,小的$b$流是由增强的抵消而非较小的无符号贡献产生的。未测量的$B_c^*(2S)$质量仍然是$2S\to2S$辐射宽度的主要限制。

英文摘要

The recent ATLAS observation of the $B_c^*(1S)$ meson fixes the ground-state hyperfine splitting and thereby determines the phase space for $B_c^*(1S)\to B_c(1S)γ$. We study four $1S$ and $2S$ M1 radiative transitions using relativistic Salpeter wave functions calibrated to the measured ground-state masses, obtaining $Γ[B_c^*(1S)\to B_c(1S)γ]=5.24\times10^{-2}$~keV. The allowed transitions show no radial cancellation, whereas the hindered $2S\to1S$ amplitudes are residuals of an approximately twenty-fold cancellation across the radial node. A quark-line-resolved analysis shows a strong asymmetry in the crossed hindered channel: the $b$-emission contribution undergoes an $\mathcal O(10^2)$ internal cancellation while the $\bar c$ contribution remains at $\mathcal O(20)$. The corresponding unsigned line strengths show that the small $b$-current is generated by enhanced cancellation rather than by a smaller unsigned contribution. The unmeasured $B_c^*(2S)$ mass remains the main limitation on the $2S\to2S$ radiative width.

论文原文

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